The 57-year-old French man and his 11-year-old daughter drowned after a giant wave swept them out to sea off the tiny island of La Graciosa as wild weather hit the Canary Islands, Spain's El País newspaper reported on Friday.
The pair had been playing on the beach when a freak wave rolled into shore and carried them out to sea.
Two other French children — a 12-year-old and a 16-year-old were also caught by the massive wave but were later saved by the crew of a ferry which was making the crossing between Lanzarote and La Graciosa.
The wild weather in the Canary Islands area also saw a petrol tanker run aground at the Moroccan port of Tan Tan.
The tanker, Silver Laayoune, had taken 5,000 tonnes of fuel on board in Lanzarote before running aground. It remains unclear whether there is any danger of spillage.